Sarah deposited $1000 into a bank account. She earns 3% interest compounded annually. The bank charges $50 for the yearly fee, which is deducted at the start of the next year. If Sarah leaves her money in the account for 2 years, how much money will she have at the end of the 2 years?

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

The probability that a u.s. resident has traveled to canada is 0.18 and to mexico is 0.09. a. if traveling to canada and traveling to mexico are independent events, what is the probability that a randomly-selected person has traveled to both? (page 109 in the book may ) b. it turns out that only 4% of u.s. residents have traveled to both countries. comparing this with your answer to part a, are the events independent? explain why or why not. (page 119 may ) c. using the %’s given, make a venn diagram to display this information. (don’t use your answer to part a.) d. using the conditional probability formula (page 114 in the book) and the %’s given, find the probability that a randomly-selected person has traveled to canada, if we know they have traveled to mexico.

A. 530 ft^2 b. 500 ft^2 c. 470 ft^2 d. 450 ft^2